### Bohr Model Equation for Hydrogen AtomAccording to the Bohr model of a hydrogen atom, for a stable orbit, centripetal, Coulomb, and all forces should be in equilibrium. Therefore, for an electron with mass \( m_e \) and speed \( v_n \) on the n-th orbit with radius \( r_n \) (where \( k \) is Coulomb's constant):#### Equation Options:1. \( m_e v_n = \dfrac{ke^2}{r_n} \) (Selected Option)2. \( m_e v_n^2 = \dfrac{ke^2}{r_n} \)3. \( m_e v_n^2 / r_n = \dfrac{ke^2}{r_n} \)4. \( m_e^2 v_n^2 = \dfrac{ke^2}{r_n^2} \)This problem aims to test the understanding of the principles of the Bohr model and the forces acting on an electron in a stable orbit around a hydrogen atom. The first option is highlighted, indicating the correct equilibrium condition according to the Bohr model.

Answered: As per Bohr model of a hydrogen atom…

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